We show that in the category of preordered sets there is a natural notion of pretorsion theory, in which the partially ordered sets are the torsion-free objects and the sets endowed with an equivalence relation are the torsion objects. Correspondingly, it is possible to construct a stable category factoring out the objects that are both torsion and torsion-free.
|Titolo:||Pretorsion theories, stable category and preordered sets|
|Data di pubblicazione:||2019|
|Appare nelle tipologie:||1.1 Articolo in rivista|